English

On reduction of multi-dimensional non-linear wave equation to two-dimensional equations

Mathematical Physics 2007-05-23 v1 Analysis of PDEs math.MP

Abstract

A condition of reduction of multidimensional wave equations to the two-dimensional equation is studied, and the necessary conditions of compatibility and exact solutions of the resulting d'Alembert-Hamilton system are obtained.

Keywords

Cite

@article{arxiv.math-ph/0610020,
  title  = {On reduction of multi-dimensional non-linear wave equation to two-dimensional equations},
  author = {W. I. Fushchych and I. A. Yehorchenko},
  journal= {arXiv preprint arXiv:math-ph/0610020},
  year   = {2007}
}

Comments

3 pages

R2 v1 2026-07-22T16:28:29.889Z